{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from QKDNetwork import QKDNetwork\n",
    "from compare import Compare\n",
    "import time\n",
    "from load_balance import getLoadBalanceRouteList as lp\n",
    "from dual_ps_lp import getDualPSTimeSlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 nodes, 0.012561428546905517\n",
      "30 nodes, 0.014553070068359375\n",
      "50 nodes, 0.016224491596221923\n",
      "70 nodes, 0.017208731174468993\n",
      "90 nodes, 0.023146986961364746\n",
      "110 nodes, 0.02389240264892578\n",
      "130 nodes, 0.028225398063659667\n",
      "150 nodes, 0.037177574634552\n",
      "170 nodes, 0.04001551866531372\n",
      "190 nodes, 0.05212337970733642\n"
     ]
    }
   ],
   "source": [
    "def get_sp(net: QKDNetwork) -> list: # ✅\n",
    "    # 获取最短路方案\n",
    "    candidate_paths = []\n",
    "    for sd in net.sd_list:\n",
    "        candidate_paths.append({\n",
    "            \"sd\": sd,\n",
    "            \"path\": net.getShortestPathWithTransmitter(sd[0], sd[1])\n",
    "        })\n",
    "    return candidate_paths\n",
    "\n",
    "times = []\n",
    "for node_num in range(10, 200, 20):\n",
    "    tmp_avg = []\n",
    "    for _ in range(20):\n",
    "        q = QKDNetwork(showTopology=False, num_node=node_num, sd_num=20, alpha=0.25, hete=False, hybrid=True)\n",
    "        tmp_avg.append(getDualPSTimeSlot(get_sp(q), q, forOverhead=True))\n",
    "    print(f\"{node_num} nodes, {sum(tmp_avg) / len(tmp_avg)}\")\n",
    "    times.append(sum(tmp_avg) / len(tmp_avg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.012561428546905517,\n",
       " 0.014553070068359375,\n",
       " 0.016224491596221923,\n",
       " 0.017208731174468993,\n",
       " 0.023146986961364746,\n",
       " 0.02389240264892578,\n",
       " 0.028225398063659667,\n",
       " 0.037177574634552,\n",
       " 0.04001551866531372,\n",
       " 0.05212337970733642]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 节点数量列表\n",
    "node_nums = list(range(10, 200, 20))\n",
    "\n",
    "# Overhead时间列表（单位转换为毫秒）\n",
    "overhead_times = times\n",
    "overhead_times_ms = [time * 1000 for time in overhead_times]\n",
    "\n",
    "# 创建图表\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(node_nums, overhead_times_ms, marker='o', linestyle='-')\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('Overhead Time vs. Node Number', fontsize=18)\n",
    "plt.xlabel('Node Number', fontsize=18)\n",
    "plt.ylabel('Overhead Time (ms)', fontsize=18)\n",
    "plt.xticks(node_nums, fontsize=18)\n",
    "plt.yticks(fontsize=18)\n",
    "\n",
    "# 显示网格\n",
    "plt.grid(True)\n",
    "\n",
    "# 显示图表\n",
    "plt.show()"
   ]
  }
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